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Finding the Fourth Proportional to 6,754.92, 10,132.88 and 1,824.48

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Solution

The fourth proportional to 6,754.92, 10,132.88 and 1,824.48 is: 2,736.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754.92 : 10,132.88 = 1,824.48 : x
  2. Step 2: Convert to fraction form
    6,754.92/10,132.88 = 1,824.48/x
  3. Step 3: Cross multiply
    6,754.92x = 10,132.88 × 1,824.48
  4. Step 4: Simplify right side
    6,754.92x = 18,487,266.80
  5. Step 5: Solve for x
    x = 18,487,266.80/6,754.92
  6. Step 6: Final answer
    x = 2,736.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.